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Finding the Third Proportional to 36,524 and 54,996

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Solution

The third proportional to 36,524 and 54,996 is: 82,810.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,524 : 54,996 = 54,996 : x
  2. Step 2: Convert to fraction form
    36,524/54,996 = 54,996/x
  3. Step 3: Cross multiply
    36,524x = 54,996 × 54,996
  4. Step 4: Simplify right side
    36,524x = 3,024,560,016
  5. Step 5: Solve for x
    x = 3,024,560,016/36,524
  6. Step 6: Final answer
    x = 82,810.21

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.